Scientific Notation

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What is scientific notation?

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you convert a decimal number to scientific notation?

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To convert a decimal number to scientific notation, move the decimal point to the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal point; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

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Convert 0.000972 to scientific notation.

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0.000972 in scientific notation is 9.72 x 10^-4.

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How do you convert scientific notation to standard form?

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To convert scientific notation to standard form, multiply the coefficient by 10 raised to the power of the exponent. For example, 8.317 x 10^6 becomes 8,317,000.

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Convert 8.317 x 10^6 to standard form.

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8.317 x 10^6 in standard form is 8,317,000.

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What is the scientific notation for the number 1001?

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The scientific notation for 1001 is 1.001 x 10^3.

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How do you determine which of two numbers in scientific notation is smaller?

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To determine which number is smaller, compare the exponents first. The number with the smaller exponent is smaller. If the exponents are the same, compare the coefficients.

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Which is smaller: 9 x 10^2 or 1 x 10^3?

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9 x 10^2 is smaller than 1 x 10^3.

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How do you write a negative number in scientific notation?

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To write a negative number in scientific notation, simply include the negative sign in front of the coefficient. For example, -5.6 can be written as -5.6 x 10^n.

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Convert -5.6 x 10^-3 to standard form.

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-5.6 x 10^-3 in standard form is -0.0056.